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Finding the Fourth Proportional to 35,978.87, 49,647.89 and 20,866.70

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Solution

The fourth proportional to 35,978.87, 49,647.89 and 20,866.70 is: 28,794.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,978.87 : 49,647.89 = 20,866.70 : x
  2. Step 2: Convert to fraction form
    35,978.87/49,647.89 = 20,866.70/x
  3. Step 3: Cross multiply
    35,978.87x = 49,647.89 × 20,866.70
  4. Step 4: Simplify right side
    35,978.87x = 1,035,987,273.69
  5. Step 5: Solve for x
    x = 1,035,987,273.69/35,978.87
  6. Step 6: Final answer
    x = 28,794.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.